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1)  Z subset system
Z子集系统
2)  Z-subset system
Z-子集系统
3)  Z-subet system
Z-子系统
4)  Z union Complete Subset System
Z-并完备子集系统
5)  Z-connected set system
Z-连通集系统
1.
In this paper, the concepts of Z-connected set system is introduced, and then a series of properties of Z-connected continuous poset are discussed, we mainly prove that the category of Z-connected continuous posets is dually equivalent to a full subcategory of the category of completely distributive lattices.
本文引入了Z-连通集系统的概念,讨论了Z-连通连续偏序集的一系列性 质,证明了Z-连通连续偏序集范畴对偶等价于完全分配格范畴的一个满子范畴。
6)  subset system
子集系统
1.
Z-subset system is studied, the following properties are obtatined:1.
主要研究了Z-子集系统,得到了下列性质:1)Z-连续偏序集和Z-拟连续偏序集的刻划定理;2)关于Z-子格,Z-子代数和Z-代数的性质;3)一定条件下(强)Z-连续偏序集的映象仍是(强)Z-连续的
2.
At the same time,a theorem is proved that a Z-meet continuous generalized Z-precontinuous poset is a Z-precontinuous poset on the supposition that Z is a subset system with the property of union of finite families.
证明了当Z是具有有限族并性质的Rudin子集系统时,Z-交连续的广义Z-拟连续偏序集是Z-拟连续偏序集。
补充资料:不变子集


不变子集
mvariant subset

不变子集汇加粕雌阴亡即肠以;H.即“明.oe邢脚助狱ec-,0],群G的 G的子集H,它包含它的每个元素h在G中的所有共辘元(conj贝势te ekn笠幻t),即所有形为g一’hg的元素.不变子半群(invanani sub一~·group)是一.压忍葱胜到厉价周落玉耳蕊胃.
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